17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

Q: b) S sin 2 x cos x dx

A:

Q: Find the GS of y" + y = cos x + sinx

A:

Q: Determine 1 dx , 4x2 +1 (i) (ii) x cos x dx .

A: Determine.  (i).  ∫14x2+1dx             ⇒∫14x2+1dx=14∫1x2+14dx  ⇒∫14x2+1dx=14∫1x2+122dx…

Q: The y - cos X 3 2 =2y %3D

A:

Q: Cos X- cosy Jax-sinxsiny dy=2

A: A differential equation of the form Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and…

Q: 3. Prove that ox + 6x -4X12 is irreducible over Q.

A:

Q: 2. Find an interval where f,(x) = sin2 x and f2(x) = cos² x are linearly independent. %3D

A: W(π/4) = -sin(π/2) = -1 W(π/6) = -sin(π/3) = - √3/2 Since, Wronskian is not zero for a single value…

Q: X sec10 can 1. Let u = 7 In х2 - 1

A: Given: ∫x sec107ln2x2 - 13tan7ln2x2 - 13dxx2 - 1.

Q: Determine, with justification, whether the series converges absolutely, converges conditionally, or…

A:

Q: Let y = cot (csc2x/x3+5). Find

A:

Q: What is the length of EF? y 4 8 units 10- 7 units 4 2 units -10 -8 -6 4 10x -2- 6 units -4- -6 -8

A: solution of the given problem is below ...

Q: Solve dy dx + y tan x = -y³x sec²(x)

A:

Q: 2. Find the derivative (dy/dx) of the following functions: n) y = 1- cos 3x sin 2x + sin 8x tan 4x

A: 2) n) It is required to find the derivative of the function y=1-cos3xsin2x+sin8xtan4x.

Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: 1) y : 2x0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

A:

Q: 5: Find dy dx of the function y = tan¹Vx² 1 + csc ¹x -

A: y=tan−1⁡x2−1+csc−1⁡x

Q: u (x, y) = -ey sin x − 2e¯º sin y. —

A:

Q: Differentiate f(r)= (3x² + 10 – sin r)º. -

A: Given:- f(x) =(3x2+10-sin(x))  To find:- Derivative of f(x)

Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

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Q: 2. Differentiate. f(t) = et sin(2t)

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Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: | sin x (3cosx)dx 2: VZ 3x dx V1- x4 3:

A: SOLUTION-

Q: rind if, y² + x² = sin(xy) using implicit derivation dx

A: We will find the derivative.

Q: Differentiate the function. x - 9x° +2 y = X y' =O

A:

Q: 2. Determine where y=sin is continuous.

A: Please see the below picture for detailed solution.

Q: sin 4. Compute (1-7) dr. x(x−7)

A: (4)

Q: 2 Find the x-intercepts of y = 2 sin x + sin x – 1 on the interval [0, 27). %3D

A:

Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

A: